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Finding the Fourth Proportional to 538,052.12, 742,456.97 and 331,287.66

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Solution

The fourth proportional to 538,052.12, 742,456.97 and 331,287.66 is: 457,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,052.12 : 742,456.97 = 331,287.66 : x
  2. Step 2: Convert to fraction form
    538,052.12/742,456.97 = 331,287.66/x
  3. Step 3: Cross multiply
    538,052.12x = 742,456.97 × 331,287.66
  4. Step 4: Simplify right side
    538,052.12x = 245,966,830,585.55
  5. Step 5: Solve for x
    x = 245,966,830,585.55/538,052.12
  6. Step 6: Final answer
    x = 457,143.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.